Biochemical Engineering - Bailey and Ollis In chromatography, each solute has an equilibrium partition coefficientK₁ = si/c₁, where s, is the adsorbed species concentration and c; the bulk concentration. If a sample ofwidth d at the injection point is to be separated into peaks of at least this peak-to-peak spacing, showthat:(a) The mean residence time of any single component i is given byLt₁ =(1-8)(1 + K₂)UEwhere u is fluid velocity and L the column length.(b) The required maximum column length L is the maximum value ofL =d(K,- K₁)(1 + K;)²(1 + K₁)where K, > K,

(a) Mean Residence Time :The mean residence time is the average time a solute molecule spends in…

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Biochemistry

9th Edition

ISBN:9781319114671

Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.

Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.

Chapter1: Biochemistry: An Evolving Science

Section: Chapter Questions

Problem 1P

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A flat (not spherical) tissue engineered skin (thickness 3.9 mm) is attached to the bottom of a dish and cultured with cell media atop it (which has an oxygen concentration of 0.15 mol/m3). The diffusivity of oxygen in the skin is 3.2 E-9 m?/s, and according to experiments that you've performed, you want to make sure that the concentration of oxygen in the device doesn't fall below 0.06 mol/m3. (Below that concentration harms the cells.) The rate of oxygen consumption is -5 E-17 mol/[cell•s]. What is the maximum cellularity (in cells/mL, three significant digits) that this tissue engineered skin can support?
The simple form of |Hoff equation is: II = [B]RT In this equation the [B] is the molar concentration of solute. So: n m [B] = v MV = cg /MA Where c, the mass concentration of the solute is in the total volume of solution and M, is the molar mass of the solute. This equation can be replaced in the previous one to get: RT II = MA In this equation molar mass of given solute can be detemined from the slope of the II vs Cz plot. This equation applies only to solutions that are sufficiently dilute to behave as ideal-dilute solutions. In the case of non-ideal solutions, however, the extended formula is: II = [B]RT{1+ k. [B] + n. [B]² + ...} Biological macromolecules dissolve to produce solutions that are far from ideal, but we can still calculate the osmotic pressure by assuming that the van't Hoff equation is only the first term of a lengthier expression: II [B]RT(1+ b. [B]) II = RT + bRT. [B] [B] II = RT + bRT./M. */Ma п RT ÞRT Ca MA MA In this equation molar mass of given biomolecule can…
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(a) The mean residence time of any single component i is given by "₁ L UE (1-8)(1+K₁) where u is fluid velocity and L the column length. (b) The required maximum column length L is the maximum value of d(K, - K₁) (1 + K,)²(1 + K₂) where K, > K,